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345605434133322 = 231129182431989783
BaseRepresentation
bin100111010010100111000100…
…1001000100100101101001010
31200022200120000221010100121010
41032211032021020210231022
5330244344412114231242
63223012540011424350
7132540111560525256
oct11645161110445512
91608616027110533
10345605434133322
11a0136494720420
12329187947550b6
1311aac5b648262c
14614b56c52b266
1529e4eccc2889c
hex13a5389224b4a

345605434133322 has 64 divisors (see below), whose sum is σ = 780054946652160. Its totient is φ = 101116920945600.

The previous prime is 345605434133299. The next prime is 345605434133363. The reversal of 345605434133322 is 223331434506543.

It is a happy number.

It is a super-2 number, since 2×3456054341333222 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348678043 + ... + 349667825.

It is an arithmetic number, because the mean of its divisors is an integer number (12188358541440).

Almost surely, 2345605434133322 is an apocalyptic number.

345605434133322 is an abundant number, since it is smaller than the sum of its proper divisors (434449512518838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345605434133322 is a wasteful number, since it uses less digits than its factorization.

345605434133322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172259.

The product of its (nonzero) digits is 9331200, while the sum is 48.

Adding to 345605434133322 its reverse (223331434506543), we get a palindrome (568936868639865).

The spelling of 345605434133322 in words is "three hundred forty-five trillion, six hundred five billion, four hundred thirty-four million, one hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1914 182431 364862 547293 989783 1094586 1979566 2006741 2969349 4013482 5290499 5938698 6020223 10580998 10887613 12040446 15871497 21775226 28703707 31742994 32662839 57407414 58195489 65325678 86111121 116390978 172222242 174586467 315740777 349172934 631481554 947222331 1894444662 180567102473 361134204946 541701307419 1083402614838 1986238127203 3972476254406 5236445971717 5958714381609 10472891943434 11917428763218 15709337915151 31418675830302 57600905688887 115201811377774 172802717066661 345605434133322